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Finding the Third Proportional to 363,288 and 545,053.50

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Solution

The third proportional to 363,288 and 545,053.50 is: 817,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,288 : 545,053.50 = 545,053.50 : x
  2. Step 2: Convert to fraction form
    363,288/545,053.50 = 545,053.50/x
  3. Step 3: Cross multiply
    363,288x = 545,053.50 × 545,053.50
  4. Step 4: Simplify right side
    363,288x = 297,083,317,862.25
  5. Step 5: Solve for x
    x = 297,083,317,862.25/363,288
  6. Step 6: Final answer
    x = 817,762.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.